10th
-
12th
grade

Mathematics

63%

accuracy

313

plays

Shawna Tucker

5 years

Mathematics

10th -

12thgrade

Solving Quadratics by Completing the Square and Quadratic Formula

Shawna Tucker

313
plays

20 questions

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1. Multiple Choice
2 minutes
1 pt
Which equation shows $x^2+8x+9=0$ after the method of completing the square has been applied?
$\left(x+2\right)^2=-5$
$\left(x+4\right)^2=7$
$\left(x+8\right)^2=55$
$x^2=-\left(8x+9\right)$
2. Multiple Choice
2 minutes
1 pt
When $2x^2-20x+49=19$ is written in the form $\left(x-p\right)^2=q$ , what is the value of $q$ ?
19
10
5
-30
3. Multiple Choice
30 seconds
1 pt
$2x^2+3x-4=0$ When the quadratic formula is applied to , what is the numerator of the simplified answer?
$3\pm\sqrt{41}$
$-3\pm\sqrt{41}$
$3\pm\sqrt{38}$
$-3\pm\sqrt{-23}$
4. Multiple Choice
30 seconds
1 pt
Solve $36x^2+169\ =\ 0$ .
$x=\pm\frac{6}{13}i$
$x=\pm\frac{6}{13}$
$x=\pm\frac{13}{6}i$
$x=\pm\frac{13}{6}$
5. Multiple Choice
30 seconds
1 pt
Solve $x^2-4x+18=0$ .
$x=-2\pm i\sqrt{14}$
$x=-2\pm\sqrt{14}$
$x=2\pm i\sqrt{14}$
$x=2\pm\sqrt{14}$
6. Multiple Choice
30 seconds
1 pt
Solve $4x^2+5x+2=0$ .
$x=\frac{5}{8}\pm\frac{\sqrt{7}}{8}$
$x=-\frac{5}{8}\pm\frac{\sqrt{7}}{8}i$
$x=-\frac{5}{8}\pm\frac{\sqrt{7}}{8}$
$x=\frac{5}{8}\pm\frac{\sqrt{7}}{8}i$
7. Multiple Choice
30 seconds
1 pt
Solve $x^2+x=-1$ .
$x=-\frac{1}{2}\pm\frac{\sqrt{3}}{2}i$
$x=-\frac{1}{2}\pm\frac{\sqrt{5}}{2}i$
$x=\frac{1}{2}\pm\frac{\sqrt{3}}{2}i$
$x=\frac{1}{2}\pm\frac{\sqrt{5}}{2}i$
8. Multiple Choice
30 seconds
1 pt
Solve $x^2+10x=39$ .
$x=-5\pm\sqrt{14}$
$x=-3\ or\ 13$
$x\ =\ 3\ or\ -13$
$x=5\pm\sqrt{14}$
9. Multiple Choice
30 seconds
1 pt
What are the solutions of the equation $x^2=23+2x$ ?
$x=-1\pm2\sqrt{6}$
$x=1\pm2\sqrt{6}$
$x=-1\pm\sqrt{22}$
$x=1\pm\sqrt{22}$
10. Multiple Choice
30 seconds
1 pt
Find the zeros of $f\left(x\right)=x^2+7x+9$ .
$x=-7\pm\sqrt{13}$
$x=\frac{-7\pm\sqrt{13}}{2}$
$x=\frac{3\pm\sqrt{7}}{2}$
$x=3\pm\sqrt{7}$
11. Multiple Choice
30 seconds
1 pt
What is the 1^st step in solving a Quadratic Equation using Completing the Square
Divide b by 2
Square root both sides
Make sure the equation equals 0
Get the variable terms on one side by themselves
12. Multiple Choice
30 seconds
1 pt
What is this formula?
This is the speed of light formula.
This is the quadratic formula.
This is the zero product property.
This is scary.
13. Multiple Choice
1 minute
1 pt
What do you do to the b value to correctly complete the square?
square it
divide it by 2 and square the result
divide it by 2 and take the square root of the result
divide it by 2 only
14. Multiple Choice
1 minute
1 pt
What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0
Set the equation equal to zero
Divide 10 by 2 and add the result to both sides
Add a² and 10a together
Subtract the 21
15. Multiple Choice
1 minute
1 pt
When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20
4
2
8
20
16. Multiple Choice
1 minute
1 pt
Complete the square for
x² + 12x + ____
x² + 12x + 144
x² + 12x + 36
x² + 12x - 36
x² + +12x - 144
17. Multiple Choice
1 minute
1 pt
When do you use the plus or minus symbol?
±
After taking the square root of both sides
After adding the square to both sides
After taking half of b
After setting the equation equal to zero
18. Multiple Choice
3 minutes
1 pt
Find the value of c that makes x² + 16x + c a perfect square.
-64
64
8
16
19. Multiple Choice
1 minute
1 pt
Who is this?
Bobby Hill
Hank Hill
Rusty Shackleford
Tom Landy
20. Multiple Choice
1 minute
1 pt
Who is this?
Abe Simpson
Bart Simpson
Max Powers
Homer Simpson
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Solving Quadratics by Completing the Squ...

10th
-
12th
grade

Mathematics

Mathematics

10th -

12thgrade

Solving Quadratics by Completing the Square and Quadratic Formula

313
plays

20 questions

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